Question

17. A right circular cylinder has base radius 8 cm & height 35 cm. Find the curved surface area of the cylinder (a) 1700 cm : (b) 1500 cm (c) 1800 cm ​

Answer 1

GiveN:-

• Height of cylinder = 35 cm
• Base Radius of cylinder = 8 cm

To FinD:-

The curved surface area.

SolutioN:-

Analysis :

Here the formula of curved surface area of a right circular cylinder is used. We have to use the correct formula and substitute the required values in the correct places and then calculate. After calculation we will be getting the CSA of the right circular cylinder.

Formula Required :

Curved surface area of right circular cylinder = 2πrh

where,

• π is pi
• r is radius
• h is height

Explanation :

We know that if we are given the base radius and height of the cylinder and is asked to find the curved surface area then our required formula is,

Curved surface area = 2πrh

where,

• π = 22/7 or 3.14
• r = 8 cm
• h = 35 cm

Using the required formula and substituting the required values,

⇒ CSA = 2πrh

⇒ CSA = 2 × 22/7 × 8 × 35

⇒ CSA = 2 × 22 × 8 × 5

⇒ CSA = 1760

∴ Curved Surface Area = 1760 cm².

The curved surface area of right circular cylinder is 1760 cm².

Explore MorE :

More formulas of Cylinder :

• TSA = 2πr(h + r)
• Volume = πr²h
• Thickness of cylinder = R - r
• Area of cross section = π(R² - r²)
• External CSA = 2πRh
• Internal CSA = 2πrh
• Volume of material = π(R² - r²)h
• Total surface Area = 2π(Rh + rh + R² - r²)

where,

• π = 22/7 or 3.14
• r = Radius or Internal Radius
• h = Height
• R = External Radius

Answer 2

Answer:-

π = 22/7 or 3.14

r = 8 cm

h = 35 cm

Curved surface area = 2πrh

Using the required formula and substituting the required values,

↪ CSA = 2πrh

↪ CSA = 2 × 22/7 × 8 × 35

↪ CSA = 2 × 22 × 8 × 5

↪ CSA = 1760

Therefore, Curved surface area of cylinder ia 1760.